Algebraic Equation and Unknowns

Q.

In a linear equation, the _________ power of the variable appearing in the equation is one.

Q.

A Bird Shooter Was Asked How Many Birds He Had In The Bag. He Replied That There Were All Sparrows But Six, All Pigeons But Six, And All Ducks But Six. How Many Birds He Had In The Bag In All?

Q.

Solve the following system of equations by elimination method:

$$\begin{gathered} 8X-3Y=5XY \\ 6X-5Y=-2XY \\ X=Y\ne 0. \end{gathered}$$

Q.

A bus is moving with a speed of 65 ½ km per hour. How much distance will it cover in 1$\frac{1}{3}$ hours.

Q.

Three consecutive numbers whose sum is $12$are _________, _________ and _________.

Q.

Together, teammates Pedro and Ricky got $2687$ base hits last season.

Pedro had $283$ more hits than Ricky.

How many hits did each player​ have?

Q. The process of determining the value of the unknown from an algebraic equation is called solving the equation for the unknown.

1. True
2. False

Q. The speed of a car is 20 km/h for the first three hours and 30 km/h for the next "t" hours. Find the "t" value (in hours) if the total distance traveled by car is 150 km.

1. 2 hour
2. 3 hour
3. 4 hour
4. 5 hour

Q.

Vikas is working for a company that pays him $Rs500perday$ and deducts $Rs100perday$ for his absence as a penalty. He received a total of $9600RS$. If he worked for $21days$, find the number of days

He remained absent.

Q. When an algebraic expression is equal to another algebraic expression or number, then it is called algebraic

1. equation
2. expression
3. inequation

Q. An unknown number is doubled and added to 50, then subtracted by 20 to get 100. Which of the following is the unknown number?

1. 30
2. 35
3. 40
4. 45

Q. $\text{Find}x\text{, if}2x-6=\frac{1}{2}$

1. $\frac{13}{2}$
2. $\frac{2}{13}$
3. $\frac{13}{4}$
4. $\frac{4}{13}$

Q.

Three times a number increased by thirty-six equals fifty-seven. What is the number ?

Q. In an adventure game, a player begins with $30$ points and receives $3$ points for collecting each coin. If the player has 150 points at the end of a level, then find the correct algebraic equation for the relation between the total points and the number of coins $\left(x\right)$.

1. $3x+30=-150$
2. $3x-30=150$
3. $3x+30=150$
4. $3x+150=30$

Q. is a linear equation in one variable.

1. $a+b=9$
2. $w^2-3=6$
3. $x+4=2$

Q. An algebraic expression allows us to convert words into the language of mathematics.

1. False
2. True

Q.

Write the algebraic equation for the following statement.

$20$ fewer students than last year. Number of students in this year is $80$.

Q.

Write the following statement in the form of equation:
$productofaand4addedto5gives20.$

Q. With $\$92$ in his pocket, Robert headed to a park. He bought four ice creams and 25 candies. It costs $\$2$ for each candy. Now he left with the remaining balance of $\$30$. How much does each ice cream cost?

1. 3
2. 4
3. 5
4. 6

Q. When an algebraic expression is equal to another algebraic expression or number, then it is known as an .

Q.

Write an algebraic equation using an appropriate variable for the following statement:
Amir rode his bicycle to reach school and rode the same distance to reach back home. Later in the evening, he rode $150m$ in the park.

Q. Solve and compare for x and y:

11.5x + 72 = 210
8.3y + 29 = 195

1. x < y
2. x > y
3. x = y
4. Cannot be determined

Q. Tap the bubble containing a two step algebraic equation.

1. $x+7=5$
2. $2x-7=15$
3. $x\times 5=10$
4. $3y+7=10$
5. $6z+7=13$
6. $4k+8=12$
7. $7h+9=16$
8. $c÷9=19$

Q. Tap the bubble which contains a linear equation in one variable.

1. $2x+3y=16$
2. $3y=16$
3. $2x+3y$
4. $9a+16=60$
5. $7x+y=49$
6. $5w=80$
7. $6s+18=30$
8. $4d+9=40$

Q.

The power of the variable in a linear equation in one variable is:

1. 1

2. 2

3. 3

4. 4

Q.

Solve:

(iii) $y-12=8$

Q.

Is given equation linear or nonlinear ?
$3\mathrm{x}=5$

Q.

Simplify the algebraic fraction:$\frac{5\mathrm{x}}{2}$of $\left(\frac{\mathrm{x}}{2}+\frac{\mathrm{x}}{3}\right)$

Q. In the algebraic expression, $11x-\frac{88}{8}=\frac{180}{9}\times 12+12$, the value of unknown is

1. $\frac{241}{11}$
2. $\frac{11}{241}$
3. $\frac{241}{12}$
4. $\frac{240}{10}$